82084817 has 2 divisors, whose sum is σ = 82084818. Its totient is φ = 82084816.

The previous prime is 82084801. The next prime is 82084831. The reversal of 82084817 is 71848028.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54037201 + 28047616 = 7351^2 + 5296^2 .

It is a cyclic number.

It is not a de Polignac number, because 82084817 - 2⁴ = 82084801 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (82083817) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41042408 + 41042409.

It is an arithmetic number, because the mean of its divisors is an integer number (41042409).

Almost surely, 2^82084817 is an apocalyptic number.

It is an amenable number.

82084817 is a deficient number, since it is larger than the sum of its proper divisors (1).

82084817 is an equidigital number, since it uses as much as digits as its factorization.

82084817 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28672, while the sum is 38.

The square root of 82084817 is about 9060.0671631065. The cubic root of 82084817 is about 434.5978879715.

The spelling of 82084817 in words is "eighty-two million, eighty-four thousand, eight hundred seventeen".